Variations on the Common Subexpression Problem
Journal of the ACM (JACM)
Succinct Representation of Balanced Parentheses and Static Trees
SIAM Journal on Computing
Maintaining Center and Median in Dynamic Trees
SWAT '00 Proceedings of the 7th Scandinavian Workshop on Algorithm Theory
Minimizing Diameters of Dynamic Trees
ICALP '97 Proceedings of the 24th International Colloquium on Automata, Languages and Programming
Query Evaluation on Compressed Trees (Extended Abstract)
LICS '03 Proceedings of the 18th Annual IEEE Symposium on Logic in Computer Science
Succinct ordinal trees with level-ancestor queries
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Maintaining information in fully dynamic trees with top trees
ACM Transactions on Algorithms (TALG)
Representing Trees of Higher Degree
Algorithmica
The complexity of tree automata and XPath on grammar-compressed trees
Theoretical Computer Science - Implementation and application of automata
User modeling for personalized Web search with self-organizing map: Research Articles
Journal of the American Society for Information Science and Technology
Path queries on compressed XML
VLDB '03 Proceedings of the 29th international conference on Very large data bases - Volume 29
Efficient memory representation of XML document trees
Information Systems
Space-efficient static trees and graphs
SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
Compressing and indexing labeled trees, with applications
Journal of the ACM (JACM)
Random access to grammar-compressed strings
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
IEEE Transactions on Information Theory
XML tree structure compression using RePair
Information Systems
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We introduce a new compression scheme for labeled trees based on top trees [3]. Our compression scheme is the first to simultaneously take advantage of internal repeats in the tree (as opposed to the classical DAG compression that only exploits rooted subtree repeats) while also supporting fast navigational queries directly on the compressed representation. We show that the new compression scheme achieves close to optimal worst-case compression, can compress exponentially better than DAG compression, is never much worse than DAG compression, and supports navigational queries in logarithmic time.